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\(\frac{\left(\frac{5^9}{5^{17}}+3\right)}{7}\)= \(\frac{\left(\frac{1}{5^8}+3\right)}{7}\)= \(\frac{\left(\frac{1171876}{390625}\right)}{7}\)= 0.4285717943
\(\frac{7^9}{7^7}-3^2+2^3.5^2\)= \(7^2-3^2+2^3.5^2\)= \(7^2-3^2+200\)= \(40+200=240\)
\(\frac{5^9}{5^7}+\frac{70}{14}-20\)= \(5^2+5-20\)=\(30-20=10\)
\(\frac{2^{28}}{2^{26}}+5^1.3^2-7^2\)= \(2^2+5.3^2-7^2\)= \(4+45-49\)= \(0\)
a) ( 519 : 517 + 3 ) : 7
= ( 25 + 3 ) : 7
= 28 : 7
= 4
b) 79 : 77- 32 + 23 . 52
= 49 - 9 + 8 . 25
= 49 - 9 + 200
= 40 + 200
= 240
c) 1200 : 2 + 62 . 21 + 18
= 600 + 36 . 2 + 18
= 600 + 72 + 18
= 672 + 18
= 690
d) 59 : 57 + 70 : 14 - 20
= 25 + 70 : 14 - 20
= 25 + 5 - 20
= 30 - 20
= 10
e) 100 : 52 + 7 . 32
= 100 : 25 + 7 . 9
= 4 + 63
= 67
f ) 84 : 4 + 39 : 37 + 50
= 21 + 9 + 1
= 30 + 1
= 31
a)56 : 52 + 2.22 - 122 b)75:72+46:43+ 225
c)38: 35 + 43 +124 d)85: 83 + 74:72+69
e)97: 95+ 3.32 - 1200. F)49: 47: 4.42 - 192
Bài làm :
a) \(5^6:5^2+2.2^2-12^2\)
\(=5^4+2^3-12^2\)
\(=625+8-144\)
\(=633-144\)
\(=489\)
b) \(7^5:7^2+4^6:4^3+225\)
\(=7^3+4^3+225\)
\(=343+64+225\)
\(=407+225\)
\(=632\)
c) \(3^8:3^5+4^3+124\)
\(=3^3+64+124\)
\(=27+64+124\)
\(=91+124\)
\(=215\)
d) \(8^5:8^3+7^4:7^2+69\)
\(=8^2+7^2+69\)
\(=64+49+69\)
\(=113+69\)
\(=182\)
e) \(9^7:9^5+3.3^2-120^0\)
\(=9^2+3^3-1\)
\(=81+27-1\)
\(=108-1\)
\(=107\)
f) \(4^9:4^7:4.4^2-192\)
\(=4^2:4^3-192\)
\(=4^{-1}-192\)
\(=-191,75\)
\(\left(5^7+5^9\right)\left(6^8+6^{10}\right)\left(2^4-4^2\right)=\left(5^7+5^9\right)\left(6^8+6^{10}\right)\left(16-16\right)=0\)
\(\left(7^3+7^5\right)\left(5^4+5^6\right)\left(3^3.3-9^2\right)=\left(7^3+7^5\right)\left(5^4+5^6\right)\left[3^4-\left(3^2\right)^2\right]\)
\(=\left(7^3+7^5\right)\left(5^4+5^6\right)\left(3^4-3^4\right)=0\)
1. A - B = 40+ 3/8 + 7/82 + 5/83 + 32/85 - (24/82 + 40+ 5/82 + 40/84 + 5/84 )
= 40.85/85 + 3.84/85 + 7.83/85 + 5.82/85 + 32/85 - 24.83/85 - 40.85/85 - 5.83/85 - 40.8/85 - 5.8/85
= 40.85/85 + 24.83/85 + 7.83/85 + 5.82/85 + 32/85 - 24.83/85 - 40.85/85 - 5.83/85 - 40.8/85 - 5.8/85
= 7.83/85 + 5.82/85 + 32/85 - 5.83/85 - 40.8/85 - 5.8/85
= 7.83/85 + 5.82/85 -8/85 - 5.83/85 - 40.8/85
= 2.83/85 + 5.82/85 - 40.8/85 - 8/85
= 2.83/85 + 40.8/85 - 40.8/85 - 8/85
= 2.83/85 - 8/85 > 0
Vay A > B
( 2^7*5^9 - 2^7*2^8) : ( 2^9: 2^7)
= [ 2^7*( 5^9-5^8) : 2^2
= [ 2^7* 5] : 4
= 160
(27 . 59 - 27 . 58) : ( 29 : 27)
= 27(59-58) : 22
= 25 . 5
= 32 . 5
= 160.